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Finding the Fourth Proportional to 165,752.30, 228,814.80 and 97,746.32

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Solution

The fourth proportional to 165,752.30, 228,814.80 and 97,746.32 is: 134,935.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,752.30 : 228,814.80 = 97,746.32 : x
  2. Step 2: Convert to fraction form
    165,752.30/228,814.80 = 97,746.32/x
  3. Step 3: Cross multiply
    165,752.30x = 228,814.80 × 97,746.32
  4. Step 4: Simplify right side
    165,752.30x = 22,365,804,661.54
  5. Step 5: Solve for x
    x = 22,365,804,661.54/165,752.30
  6. Step 6: Final answer
    x = 134,935.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.